GCF of 9971/211, 3032/4722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9971/211, 3032/4722 i.e 1/996342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9971/211, 3032/4722.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 9971/211,3032/4722?
Given fractions are 9971/211,3032/4722
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 9971/211,3032/4722, numerators are 9971,3032
Denominators are 211,4722
The GCF of 9971,3032 is 1 .
LCM of 211,4722 is 996342.
The greatest common factor of 9971/211,3032/4722 = [GCF of 9971,3032]/[LCM of 211,4722]= 1/996342
Therefore, the GCF of 9971/211,3032/4722 is 1/996342.
To find the highest common factor of 9971,3032, we have to find the factors of both numbers and list the highest common factor.
The factors of 9971 are 1, 13, 59, 169, 767, 9971
The factors of 3032 are 1, 2, 4, 8, 379, 758, 1516, 3032
The HCF of 9971,3032 is 1.
Lets's calculate GCF of 9971,3032
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9971,3032 By Matching Biggest Common Factor Method
Now, list down the factors of 9971
:1,13,59,169,767,9971
Now, list down the factors of 3032
:1,2,4,8,379,758,1516,3032
Greatest Common Factor
We found the factors 9971,3032 . The biggest common factor number is the GCF number.
So the greatest common factor 9971,3032 is 1.
Lets's calculate LCM of 211,4722
Given numbers has no common factors except 1. So, there LCM is their product i.e 996342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/996342
Therefore, the GCF of Fractions 9971/211,3032/4722 is 1/996342
Least Common Multiple of 211,4722 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 211,4722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(211,4722) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(211,4722) x common factors =1 x 1 = 1
LCM(211,4722) = ( 211 × 4722 ) / 1
LCM(211,4722) = 996342 / 1
LCM(211,4722) = 996342
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FAQs on GCF of Fractions of 9971/211, 3032/4722
1. What is the HCF of 9971,3032?
The HCF of 9971,3032 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 9971/211, 3032/4722?
Answer: GCF of Numerators as per given numbers 9971/211, 3032/4722 is
GCF of Numerators i.e. for 9971,3032 is 1
LCM of denominators i.e. for 211,4722 is 996342.
Thus, GCF of Fractions is 1/996342.Finally, GCF of Fractions for 9971/211, 3032/4722 is 1/996342.